12540021278400 has 1008 divisors, whose sum is σ = 56702324390400. Its totient is φ = 2605707417600.

The previous prime is 12540021278353. The next prime is 12540021278401. The reversal of 12540021278400 is 487212004521.

12540021278400 is a `hidden beast` number, since 1 + 2 + 540 + 0 + 2 + 1 + 2 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12540021278401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54215797 + ... + 54446603.

Almost surely, 2^{12540021278400} is an apocalyptic number.

12540021278400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540021278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28351162195200).

12540021278400 is an abundant number, since it is smaller than the sum of its proper divisors (44162303112000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12540021278400 is a wasteful number, since it uses less digits than its factorization.

12540021278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230867 (or 230835 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12540021278400 in words is "twelve trillion, five hundred forty billion, twenty-one million, two hundred seventy-eight thousand, four hundred".